SOLUTION: Determine Slope and y intercept of line represented by each equation 3x+y=4 and graph the line using the slope and y intercept. Please explain how to do.

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Question 121308: Determine Slope and y intercept of line represented by each equation
3x+y=4 and graph the line using the slope and y intercept. Please explain how to do.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
First convert the standard equation into slope intercept form

Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)

Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)

Start with the given equation

Subtract 3x from both sides

Simplify

The original equation (standard form) is equivalent to (slope-intercept form)

The equation is in the form where is the slope and is the y intercept.

Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

Also, because the slope is , this means:

which shows us that the rise is -3 and the run is 1. This means that to go from point to point, we can go down 3 and over 1

So starting at , go down 3 units

and to the right 1 unit to get to the next point

Now draw a line through these points to graph

So this is the graph of through the points and